Pith Number

pith:VFWUPJRI

pith:2025:VFWUPJRIWIAFTJLISJL33ITCH6

not attested not anchored not stored refs pending

Resource complexity of Symmetry Protected Topological phases

Alberto Giuseppe Catalano, Carola Ciaramelletti, Fabio Franchini, Gianpaolo Torre, Salvatore Marco Giampaolo, Simone Paganelli, Sven Benjamin Ko\v{z}i\'c

arxiv:2509.08053 v3 · 2025-09-09 · quant-ph · cond-mat.str-el · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFWUPJRIWIAFTJLISJL33ITCH6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Long-range nonstabilizerness of topologically encoded states from mutual information

Receipt and verification

First computed	2026-07-10T01:19:39.529050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a96d47a628b20059a5689257bda2623f98f414b34bb57bbaba861a70114be502

Aliases

arxiv: 2509.08053 · arxiv_version: 2509.08053v3 · doi: 10.48550/arxiv.2509.08053 · pith_short_12: VFWUPJRIWIAF · pith_short_16: VFWUPJRIWIAFTJLI · pith_short_8: VFWUPJRI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VFWUPJRIWIAFTJLISJL33ITCH6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a96d47a628b20059a5689257bda2623f98f414b34bb57bbaba861a70114be502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fad2b019a7b35b1a2d405b260f3a4f34e95e4444f918f5deab20924a3763bc2",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-09T18:00:07Z",
    "title_canon_sha256": "a6339b29d569f4b480e404184e298080961685c108282332b443b28ac889abe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08053",
    "kind": "arxiv",
    "version": 3
  }
}